Inhaltsbereich
M. Furuta: Characteristic Classes
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Time and place: Wed 14-16, room 132, Thu 13-15, room E39
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Recitation classes: TBA
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Contents:
1. Short review of (co)homology theory.
2. Thom classes and the Poincare dual.
3. Several definitions of the Euler class for oriented plane bundles.
4. Several definitions of Chern classes.
5. The equivalence of the above definitions.
6. Pontrjagin classes and Stiefel-Whitney classes.
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Intended audience: Diplom, Master and doctoral students in mathematics and/or physics.
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Prerequisites: Some previous exposure to topology is useful but not indispensable.
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References:
J. Milnor and J.D. Stasheff,
Characteristic Classes, Princeton University Press, Princeton, NJ, 1974
S. Morita,
Geometry of Characteristic Classes,
(Translations of Mathematical Monographs 199)
American Mathematical Society 2001
R. Bott and W. Tu,
Differential forms in algebraic topology,
GTM 82, Springer Verlag 1982.
